Question

Which theorem or postulate proves the two triangles are similar?

Answer 1

any idea so far?

Answer 2

would it be AA?

Answer 3

Oh, if you need to know the exact name, you'd have to look for yourself, I am not a native english/american speaking person, hence I don't know all that terminologies, but keep in mind, AA means two angles are the same, and therefore also the third. correct?

Answer 4

yes i think. it stands for ANGLE ANGLE

Answer 5

alright, so I agree with you, this one would work here, because the angles at the intersection are equal too, therefore you've all three angles which are the same.

Answer 6

You can also try another postulate, like the corresponding sites and the angle BETWEEN them.

Answer 7

oh okay thank you soo much for you help do you think you can help me with another one?

Answer 8

I can try.

Answer 9

okay

Answer 10

What are the values of a and b?

Answer 11

same problem ?

Answer 12

no its a different one

Answer 13

i think the answer is 20 sqroot of 101

Answer 14

I get a=20

Answer 15

sorry I crashed, but I agree with your answer, besides I think you meant:
\[\Large b=2\sqrt{101} \]

Answer 16

yess and a would = 20 right?

Answer 17

mhm

Answer 18

okay good :) i have more do you think you could go on lol or no

Answer 19

I am slightly distracted, but you can of course keep posting.

Answer 20

okay a new post? or this one

Answer 21

that's up to you, you can also continue here.

Answer 22

okay ill contine here

Answer 23

Kristen lives directly east of the park. The football field is directly south of the park. The library sits on the line formed between Kristen’s home and the football field at the exact point where an altitude to the right triangle formed by her home, the park, and the football field could be drawn. The library is 6 miles from her home. The football field is 8 miles from the library.

Answer 24

How far is the library from the park? How far is the park from the football field?

Answer 25

So what are the equations you set up? I would go for the distance Park Library first, because the rest is Pythagoras.

Answer 26

what do you mean like what answer i would come up with?

Answer 27

Well, this is all about seeing that the triangles are similar, and then you need to come up with a way how to solve it. Let me try to show you: